I am trying to figure out how to convert roman numerals into integers

问题

I am trying to figure out how to convert roman numerals to integers. This is a portion of my code. When I prompt the user to enter M it shows 1000, but when I prompt the user to enter a roman numeral such as VM, it does not give me 995 but instead 1005. This is because I am telling my program to do just that.

What I am trying to figure out is how I can look ahead and get it to know when it is adding or subtracting roman numerals.

How do I begin to go about doing this?

class Roman
{

    public int inprogress = 0;
    public Roman(string roman)
    {

        char temp = 'Z';
        int length;

        length = roman.Length;

        for (int i = 0; i < length; i++)
        {
            temp = roman[i];
            if (temp == 'M')
            {
                inprogress = inprogress + 1000;
            }
            if (temp == 'D')
            {
                inprogress = inprogress + 500;
            }
            if (temp == 'C')
            {
                inprogress = inprogress + 100;
            }
            if (temp == 'L')
            {
                inprogress = inprogress + 50;
            }
            if (temp == 'X')
            {
                inprogress = inprogress + 10;
            }
            if (temp == 'V')
            {
                inprogress = inprogress + 5;
            }
            if (temp == 'I')
            {
                inprogress = inprogress + 1;
            }
        }
    }
}

回答1:

the trick to converting roman numerals is to work backwards (from the end of the string) not forwards, makes it a lot easier.

eg, if you have IX

you start with X, = 10
move back 1.... now its I, I is less than X so now subtract off 1 = 9

A reference solution....

public class RomanNumeral
    {
        public static int ToInt(string s)
        {
              var last = 0;
              return s.Reverse().Select(NumeralValue).Sum(v =>
              {                    
                var r = (v >= last)? v : -v;
                last = v;
                return r;
              });
        }

        private static int NumeralValue(char c)
        {
            switch (c)
            {
                case 'I': return 1;
                case 'V': return 5;
                case 'X': return 10;
                case 'L': return 50;
                case 'C': return 100;
                case 'D': return 500;
                case 'M': return 1000;                    
            }
            return 0;
        }
    }

NOTE: this doesn't validate roman numerals, just convert ones that are already valid.

回答2:

 List<Level> levels = new List<Level>();
    int[] val = new int[255];
    private void Form1_Load(object sender, EventArgs e)
    {

        val[(byte)'I'] = 1;
        val[(byte)'V'] = 5;
        val[(byte)'X'] = 10;
        val[(byte)'L'] = 50;
        val[(byte)'C'] = 100;
        val[(byte)'D'] = 500;
        val[(byte)'M'] = 1000;
        levels.Clear();
        levels.Add(new Level('I', 'V', 'X'));
        levels.Add(new Level('X', 'L', 'C'));
        levels.Add(new Level('C', 'D', 'M'));
    }
    int fromRoman(string n)
    {
        n = n.ToUpper();

        var result = 0;
        var lastDigit = 0;
        for (var pos = n.Length - 1; pos >= 0; pos--)
        {
            var curDigit = val[(byte)n[pos]];


            if (curDigit >= lastDigit)
                result += curDigit;
            else
                result -= curDigit;

            lastDigit = curDigit;
        }

        return result;
    }
    public class Level
    {
        public Level(char i, char v, char x)
        {
            this.i = i;
            this.x = x;
            this.v = v;
        }
        public char i;
        public char v;
        public char x;
    }

Then Run

int Result =  fromRoman("X");

回答3:

You need to add logic that basically says that if the V is before the M then subtract it. Based on this line here:

if (temp == 'V') { inprogress = inprogress + 5;

来源：https://stackoverflow.com/questions/17711746/i-am-trying-to-figure-out-how-to-convert-roman-numerals-into-integers

标签

roman-numerals